LARA

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sav08:forward_vcg [2009/03/10 20:50]
vkuncak
sav08:forward_vcg [2010/03/09 17:22]
vkuncak
Line 88: Line 88:
  
  
-===== Example ===== 
  
-Let's take a small example with precondition: $\{x \ge 5 \wedge y \ge 3\}$ and code:+ 
 + 
 +===== Examples ===== 
 + 
 +**Example 1.** 
 +Precondition: $\{x \ge 5 \wedge y \ge 3\}$. Code:
 <​code>​ <​code>​
 x = x + y + 10 x = x + y + 10
Line 101: Line 105:
 \leftrightarrow \ y \ge 3 \land x \ge y + 15 \leftrightarrow \ y \ge 3 \land x \ge y + 15
 \end{array} \end{array}
 +\]
 +
 +**Example 2** Precondition:​ $\{x \ge 2 \land y \le 5 \land x \le y \}$. Code:
 +<​code>​
 +havoc(x)
 +</​code>​
 +
 +\[
 +  \exists x_0.\ x_0 \ge 2 \land y \le 5 \land x_0 \le y
 +\]
 +i.e.
 +\[
 +   ​\exists x_0.\ 2 \le x_0 \le y \land y \le 5
 +\]
 +i.e.
 +\[
 +    2 \le y \land y \le 5
 \] \]